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基本説明
Designed as supplemental material to the textbook An Invitation to Biomathematics, this laboratory manual expertly sids students who wish to gain a deeper understanding of solving biological issues with conputer programs.
Full Description
Laboratory Manual of Biomathematics is a companion to the textbook An Invitation to Biomathematics. This laboratory manual expertly aids students who wish to gain a deeper understanding of solving biological issues with computer programs.
It provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology .
Mathematical topics include Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms. It includes more than 120 exercises derived from ongoing research studies.
This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology.
Contents
Preface Laboratory 1 Exploring Berkeley Madonna in the Context of Single-Species Population DynamicsLaboratory 2 Logistic Models of Single-Species Population Dynamics, Equilibrium States, and Long-Term BehaviorLaboratory 3 Physiological Mechanisms of Drug Elimination from the Bloodstream and Optimal Drug Intake RegimensLaboratory 4 Epidemic ModelsLaboratory 5 Predator-Prey ModelsLaboratory 6 Selection in Genetics: The Effect of A Maladaptive or Lethal GeneLaboratory 7 Quantitative Genetics and StatisticsLaboratory 8 Blood Glucose Fluctuation Characteristics in Type I versus Type II Diabetes MellitusLaboratory 9 Using Heartbeat Characteristics and Patterns to Predict Sepsis in NeonatesLaboratory 10 Hormone Pulsatility in Reproductive EndocrinologyLaboratory 11 Endocrine Oscillators: Modeling and Analysis of the Growth Hormone NetworkLaboratory 12 Chemical Perturbation on the Operations of Circadian Clocks
